89232800 has 72 divisors (see below), whose sum is σ = 221048352. Its totient is φ = 35168000.

The previous prime is 89232799. The next prime is 89232809. The reversal of 89232800 is 823298.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (89232809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56015 + ... + 57585.

It is an arithmetic number, because the mean of its divisors is an integer number (3070116).

Almost surely, 2^89232800 is an apocalyptic number.

89232800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89232800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110524176).

89232800 is an abundant number, since it is smaller than the sum of its proper divisors (131815552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

89232800 is a wasteful number, since it uses less digits than its factorization.

89232800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 89232800 is about 9446.3114494495. The cubic root of 89232800 is about 446.8634562685.

The spelling of 89232800 in words is "eighty-nine million, two hundred thirty-two thousand, eight hundred".